Speaker：Prof. King-Yeung Lam，Ohio State University

            Title: Traveling waves for a class of diffusive disease-transmission models with network structures.

Time：2018-06-15, 16:00-17:00

Venue：Room 316 of Environment Building, Renmin University

Abstract: In this talk, we are concerned with the derivation of the necessary and sufficient conditions for the existence of traveling wave solutions for a class of diffusive disease-transmission models with network structures. The existence of traveling semi-fronts is obtained by Schauder`s fixed-point theorem and these traveling semi-fronts are shown to be bounded by transforming the boundedness problem into the classification problem of non-negative solutions to a linear elliptic system on R. To overcome the reducibility problem arising in the proofs, a Harnack`s inequality for positive supersolutions on R is proved.